Dragnet Numerical Reasoning Questions and Answers


Fig 1.7


86)

What is the average annual cost for servicing each of the 5 manufacturing plants (assume 4 weeks in a month)?


Step 1 – total the servicing costs
1,050 + 1,100 + 950 + 1,025 + 875 = £5,000 per week

Step 2 – calculate the monthly cost
5,000 x 4 = £20,000 per month

Step 3 – calculate the average monthly cost
£20,000 / 5 = £4,000 per month

Step 4 – calculate the average annual cost
4,000 x 12 = £48,000

Thus the correct answer is (E), £48,000

87)

For the Glasgow manufacturing plant, which maintenance cost(s) represent approximately 7% of the total costs?


Step 1 - For the Glasgow plant, calculate the total costs
195 + 875 + 300 + 189 + 720 + 425 = 2,704

Step 2 - For the Glasgow plant, calculate each cost as a % of the total cost
Insurance = 100% x 195/2,704 = 7%
Servicing = 100% x 875/2,704 = 32%
Rent = 100% x 300/2,704 = 11%
Utilities = 100% x 189/2,704 = 7%
Administration = 100% x 720/2,704 = 27%
Misc = 100% x 425/2,704 = 16%

Tip: to save time, you can stop after you’ve calculated 7% for Insurance and just scan across the row to see if any other costs are close to £195. You will see that Utilities are.

Thus the correct answer is (E), Insurance and Utilities

88)

Averaged across the Manufacturing Plants, put the average values for each of the maintenance costs in decreasing size order, starting with the highest.


Calculate the average for each maintenance cost:

Insurance = 192.2

Servicing = 1,000
Rent = 295
Utilities = 185.8
Administration = 589
Misc = 450

Thus the correct answer is (A), Servicing, Administration, Misc., Rent, Insurance, Utilities

Fig 1.6


89)

Which equity fund holding(s) hold less than double the number of Shares compared to Bonds?


The information that we need is shown in the graph.
Calculate the Shares: Bonds ratios for each equity fund

  Bonds  Shares
UK  20  40
US  15  55
European  70
Far Eastern  13  30
Emerging Markets  30  50


The UK fund has exactly double the number of Shares compared to Bonds. Only the Emerging Markets has less than double the number of Shares compared to Bonds.

Thus the correct answer is (C) Emerging Markets

90)

Which of the components of the UK and US equity funds have the highest and the lowest value?


Tip: Note that just from looking at the graph and table we know the overall US fund is
smaller than the UK fund and the smallest fraction within the US find (10% to Derivatives)
is not larger than the smallest fraction within the UK fund. So we can instantly say the
smallest fraction is Derivatives in the US fund. As it happens there is only one multiple
choice with this as an option so we know (E) is the correct answer.
In full, the solution is as follows. The information that we need is shown in both the graph
and the table.

Calculate the value of each component of each equity fund, using this formula:
Component value = Total value x Equity fund component %
UK Fund (Cash) = 55.6 x 10% = 5.56 (£million)

See table below for other component values:

  Component value (£million)
  Cash  Bonds Derivatives Shares
UK  5.56 11.12  16.68  22.24
US  4.86  3.65 2.43  13.37

Thus the correct answer is (E), lowest is US Fund (Derivatives); highest is UK Fund (Shares)